Question

12. If (3^2x+1 + 9)÷9 = 10, find the value of x.​

Answer 1

3^2x + 1 ÷ 9 =27

3^2x + 1 ÷ 3^2 = 3^3

By equating the exponent of both sides.Because the base are same in both side.

2x + 1 ÷ 2 = 3

2x + 1/2 = 3

2x = 3×2/1

x = 3 × 2 /2

x = 3.

This is the answer according to me

Answer 2

Answer:

${3}^{2x + 1} + 9 = 90 \\ \\ {3}^{2x + 1} = 81 \\ \\ {3}^{2x + 1} = {3}^{4} \\ \\ compare = > \\ \\ 2x + 1 = 4 \\ \\ x = \frac{3}{2}$